While Physics Education Research has a rich tradition of problem-solving scholarship, most of the work has focused on more traditional, well-defined problems. Less work has been done with ill-structured problems, problems that are better aligned with the engineering and design-based scenarios promoted by the Next Generation Science Standards. This…

Evidence-based practices (EBP) in psychology and education are necessary for the development of best practices and required by law. However, EBP is a term that is often freely applied in these settings without considering the implications of the meaning of "evidence-based." Evidence-based practices are defined as the process of…

Two studies comparing Chinese and German samples by using work-related verbal creativity tasks examined the role of culture in creative expression thereby also exploring culture's potential influence on creativity judgements. In Study 1, German participants (N = 60) scored higher than Chinese respondents (N = 60) in a work-related unusual uses…

The paper presents the initial results of research into the individual conditions of the psychosocial functioning of NEETs in the educational context. The study was performed between May and September 2017 in Slovakia, Poland and Estonia, by means of a triangulation of quantitative tools. The general objective of the study is to diagnose the level…

Cross-disciplinary fields such as biotechnology require chemical engineers and non-engineers to routinely work together, thus creating a need for non-engineers to learn chemical engineering. But limited knowledge on non-engineers' learning preferences and the lack of pedagogical methods to teach non-engineers restricts the opportunities available…

Context-based learning (CBL) has influenced teaching and learning science in many countries over the past decades. Twelve years ago, a special issue on CBL was published in this "Journal," focusing on CBL curriculum development. Seven papers in this current special issue on CBL now address the question of how a context influences the…

This teaching brief describes an engaging, in-class exercise that introduces genetic algorithms as well as advanced Excel functions and capabilities by modeling the familiar Sudoku puzzle. Student groups are first asked to manually solve a given puzzle and then translate that solution methodology to a spreadsheet model. This exercise can be used…

Recently, a debate has arisen around what can be called the "indistinguishability thesis," that is, the claim that it is impossible to distinguish between qualitative and quantitative research. In contrast, this article argues that the inability to define simple, sharp boundaries around qualitative and quantitative research does not…

In this article, we review research that has examined the association between race, ethnicity, culture, and student motivation. We begin by describing potential problems regarding how race, ethnicity, and culture are defined in research. Next, we review some of the methods that have been used to examine the associations among race, ethnicity,…

These notes discuss several related problems in geometry that can be explored in a dynamic geometry environment. The problems involve an interesting property of hexagons.

There has been considerable recent interest in methods of determining sample size for qualitative research a priori, rather than through an adaptive approach such as saturation. Extending previous literature in this area, we identify four distinct approaches to determining sample size in this way: rules of thumb, conceptual models, numerical…

This article explores teaching practices described in NCTM's Principles to Actions: Ensuring Mathematical Success for All. Common factors, common multiples, strip diagrams, and double number lines are discussed in this, the third installment in the series. [For the second installment in this series see "Connecting the Dots: Building…

Contemporary scholars describe mathematical modeling as a transformation of a real-world problem to a mathematical problem and back again. This paper treats a critical issue in the modeling process: how modelers determine if the transformation from the real world to mathematics was carried out well. I present an empirically derived typology of…

The purpose of this research is to evaluate the type and accuracy of the visual representations that the pre-service teachers generate in the pedagogical solution of the word problems. The data on participants' spatial competence levels were obtained through Purdue Spatial Visualization Test and the data on the type of visual representations were…

Verification and validation are essential aspects of mathematics and beyond in STEM, but these constructs are not consistently defined in research nor in curricula documents. In this theoretical paper, we argue that verification and validation are largely characterized as binary judgments by teachers and researchers about what students do. We then…